combinatoric Definition
relating to the branch of mathematics concerned with counting and studying the properties of arrangements of objects (often finite).
Using combinatoric: Examples
Take a moment to familiarize yourself with how "combinatoric" can be used in various situations through the following examples!
Example
Combinatorics is used in computer science to optimize algorithms.
Example
The combinatoric approach to the problem was more efficient than the brute-force method.
Example
Combinatorics is a fundamental part of discrete mathematics.
combinatoric Synonyms and Antonyms
Synonyms for combinatoric
Phrases with combinatoric
a phenomenon where the number of possible outcomes or solutions grows exponentially as the size of the problem increases, making it computationally infeasible to solve
Example
The combinatorial explosion of possible chess games makes it impossible to brute-force search all possible moves.
the process of finding the best solution among a finite set of possible solutions to a problem that involves selecting the best combination of elements from a larger set
Example
Combinatorial optimization is used in logistics to optimize delivery routes and schedules.
a mathematical structure that specifies a set of objects and a collection of subsets called blocks, subject to certain conditions, often used in experimental design and coding theory
Example
Combinatorial designs are used in statistics to study the effects of different factors on an outcome.
Summary: combinatoric in Brief
The term 'combinatoric' [ˌkɒmbɪnəˈtɒrɪk] refers to the branch of mathematics that deals with counting and studying the properties of arrangements of objects. It is used in computer science to optimize algorithms, and is a fundamental part of discrete mathematics. Combinatoric structures include 'combinatorial explosion,' which refers to the exponential growth of possible outcomes, 'combinatorial optimization,' which involves selecting the best combination of elements from a larger set, and 'combinatorial design,' which is used in experimental design and coding theory.
